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Finding the Fourth Proportional to 4,928.64, 6,797.76 and 4,626.24

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Solution

The fourth proportional to 4,928.64, 6,797.76 and 4,626.24 is: 6,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.64 : 6,797.76 = 4,626.24 : x
  2. Step 2: Convert to fraction form
    4,928.64/6,797.76 = 4,626.24/x
  3. Step 3: Cross multiply
    4,928.64x = 6,797.76 × 4,626.24
  4. Step 4: Simplify right side
    4,928.64x = 31,448,069.22
  5. Step 5: Solve for x
    x = 31,448,069.22/4,928.64
  6. Step 6: Final answer
    x = 6,380.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.